We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ≠ 1. At negative integers the series becomes a finite sum whose value is given ...
Correspondence to Dr Patrick O McKeon, Department of Exercise and Sport Science, School of Health Sciences and Human Performance, Ithaca College Hill Center, Room G66 953 S. Danby Rd, Ithaca, NY 14850 ...